Significance of black hole quasinormal modes: A closer look

Daghigh, Ramin G.; Green, Michael D.; Morey, Jodin C.

doi:10.1103/physrevd.101.104009

Cited by 37 publications

(18 citation statements)

References 21 publications

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“…In the present case, in the place of two different frequencies, one deals with two branches of complex frequencies. We note that the emergence of two quasinormal mode spectra in discontinous effective potential has also been noticed recently by Daghigh et al in [50]. In the context of the present study, the first spectrum is related to the original black hole metric, which gives rise to dissipative oscillation waveform, mostly determined by the first few low overtone quasinormal frequencies.…”

Section: Further Discussion and Concluding Remarkssupporting

confidence: 84%

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On an alternative mechanism for the black hole echoes

Liu,

Qian,

Liu

et al. 2021

Preprint

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Gravitational wave echoes from the black holes have been suggested as a crucial observable to probe the spacetime in the vicinity of the horizon. In particular, it was speculated that the echoes are closely connected with specific characteristics of the exotic compact objects, and moreover, possibly provide an access to the quantum nature of gravity. Recently, it was shown that the discontinuity in the black hole metric substantially modifies the asymptotical behavior of quasinormal frequencies. In the present study, we proceed further and argue that a discontinuity planted into the metric furnishes an alternative mechanism for the black hole echoes. Physically, the latter may correspond to an uneven matter distribution inside the surrounding halo. To demonstrate the results, we first numerically investigate the temporal evolution of the scalar perturbations around a black hole that possesses a nonsmooth effective potential. It is shown that the phenomenon persists even though the discontinuity can be located further away from the horizon with rather insignificant strength. Moreover, we show that the echoes in the present model can be derived analytically based on the modified pole structure of the associated Green function. The asymptotical properties of the quasinormal mode spectrum and the echoes are found to be closely connected, as both features can be attributed to the same origin. In particular, the period of the echoes in the time domain T is shown to be related to the asymptotic spacing between successive poles along the real axis in the frequency domain ∆( ω), by a simple relation lim ω→+∞ ∆( ω) = 2π/T . The potential astrophysical implications of the present findings are addressed.

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Section: Further Discussion and Concluding Remarkssupporting

confidence: 84%

“…Recently, it was shown that discontinuity appreciably affects the asymptotic properties of the black hole quasinormal frequencies [50][51][52] as well as the shadow [53]. In particular, it was pointed out in Ref.…”

Section: Introductionmentioning

confidence: 99%

On an alternative mechanism for the black hole echoes

Liu,

Qian,

Liu

et al. 2021

Preprint

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“…Furthermore, while there is strong numerical evidence for the presence of ringdown overtones close to the merger, 25 a number of theoretical questions remain as to the validity of a quasi-normal description of the black hole close to merger. [26][27][28][29][30] Given the evidence we find for the −0.66 . This highlights the benefits of black hole spectroscopy using the fundamental modes.…”

Section: Discussionmentioning

confidence: 53%

Observation of a multimode quasi-normal spectrum from a perturbed black hole

Capano¹,

Cabero²,

Westerweck³

et al. 2021

Preprint

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When two black holes merge, the late stage of gravitational wave emission is a superposition of exponentially damped sinusoids. According to the black hole no-hair theorem, this ringdown spectrum depends only on the mass and angular momentum of the final black hole. An observation of more than one ringdown mode can test this fundamental prediction of general relativity.Here we provide strong observational evidence for a multimode black hole ringdown spectrum using the gravitational wave event GW190521, with a Bayes factor of ∼ 40 preferring two fundamental modes over one. The dominant mode is the = m = 2 harmonic, and the sub-dominant mode corresponds to the = m = 3 harmonic. We estimate the redshifted mass and dimensionless spin of the final black hole as 330 +30−40 M and 0.87 +0.05 −0.10 , respectively. The detection of the two modes disfavors a binary progenitor with equal masses; the mass ratio is constrained to 0.4 +0.2 −0.3 . We find that the final black hole is consistent with the no hair theorem and constrain the fractional deviation from general relativity of the sub-dominant mode's frequency to be −0.01 +0.07 −0.11 .

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“…Early investigations found that BH QNMs are exponentially sensitive to small perturbations, either due to (faraway or nearby) matter [29][30][31][32][33] or due to variations in the boundary conditions [28,34,35]. The pioneering work by Nollert and Price [29,30] has been recently extended to more general types of "ultraviolet" (small-scale) perturbations [36][37][38][39][40]. Spectral instabilities are common to other dissipative systems.…”

Section: A Black Hole Quasinormal Mode Instabilitymentioning

confidence: 99%

“…Due to the dissipative nature of the block operator L 2 -see Eqs. ( 13) and ( 15) -which encodes the boundary conditions at null infinity and at the event horizon, the operator L is not selfadjoint with respect to the scalar product (36) [37]: this justifies the non-unitary character of the evolution operator in Eq. ( 16).…”

Section: A the Energy Normmentioning

confidence: 99%

Pseudospectrum of Reissner-Nordström black holes: quasinormal mode instability and universality

Destounis,

Macedo,

Berti

et al. 2021

Preprint

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Significance of black hole quasinormal modes: A closer look

Cited by 37 publications

References 21 publications

On an alternative mechanism for the black hole echoes

On an alternative mechanism for the black hole echoes

Observation of a multimode quasi-normal spectrum from a perturbed black hole

Pseudospectrum of Reissner-Nordström black holes: quasinormal mode instability and universality

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